Nuprl Lemma : cu-cube-family-Kan-type-at
∀[alpha,L,f:Top]. (cu-cube-family(alpha;L;f) ~ Kan-type(alpha)(f))
Proof
Definitions occuring in Statement :
cu-cube-family: cu-cube-family(alpha;L;f),
Kan-type: Kan-type(Ak),
cubical-type-at: A(a),
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
Kan-type: Kan-type(Ak),
cubical-type-at: A(a),
cu-cube-family: cu-cube-family(alpha;L;f),
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
sqequalAxiom,
lemma_by_obid,
hypothesis,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[alpha,L,f:Top]. (cu-cube-family(alpha;L;f) \msim{} Kan-type(alpha)(f))
Date html generated:
2016_06_16-PM-08_07_13
Last ObjectModification:
2015_12_28-PM-04_11_15
Theory : cubical!sets
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